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Finding the Fourth Proportional to 83,778.50, 125,687.80 and 24,612.86

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Solution

The fourth proportional to 83,778.50, 125,687.80 and 24,612.86 is: 36,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778.50 : 125,687.80 = 24,612.86 : x
  2. Step 2: Convert to fraction form
    83,778.50/125,687.80 = 24,612.86/x
  3. Step 3: Cross multiply
    83,778.50x = 125,687.80 × 24,612.86
  4. Step 4: Simplify right side
    83,778.50x = 3,093,536,570.09
  5. Step 5: Solve for x
    x = 3,093,536,570.09/83,778.50
  6. Step 6: Final answer
    x = 36,925.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.